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Finding the Fourth Proportional to 2,953.52, 4,075.44 and 1,905.60

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Solution

The fourth proportional to 2,953.52, 4,075.44 and 1,905.60 is: 2,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.52 : 4,075.44 = 1,905.60 : x
  2. Step 2: Convert to fraction form
    2,953.52/4,075.44 = 1,905.60/x
  3. Step 3: Cross multiply
    2,953.52x = 4,075.44 × 1,905.60
  4. Step 4: Simplify right side
    2,953.52x = 7,766,158.46
  5. Step 5: Solve for x
    x = 7,766,158.46/2,953.52
  6. Step 6: Final answer
    x = 2,629.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.